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Finding the Fourth Proportional to 1,037.62, 1,432 and 644.56

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Solution

The fourth proportional to 1,037.62, 1,432 and 644.56 is: 889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.62 : 1,432 = 644.56 : x
  2. Step 2: Convert to fraction form
    1,037.62/1,432 = 644.56/x
  3. Step 3: Cross multiply
    1,037.62x = 1,432 × 644.56
  4. Step 4: Simplify right side
    1,037.62x = 923,009.92
  5. Step 5: Solve for x
    x = 923,009.92/1,037.62
  6. Step 6: Final answer
    x = 889.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.